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Finding the Fourth Proportional to 546.29, 753.89 and 310.23

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Solution

The fourth proportional to 546.29, 753.89 and 310.23 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.29 : 753.89 = 310.23 : x
  2. Step 2: Convert to fraction form
    546.29/753.89 = 310.23/x
  3. Step 3: Cross multiply
    546.29x = 753.89 × 310.23
  4. Step 4: Simplify right side
    546.29x = 233,877.80
  5. Step 5: Solve for x
    x = 233,877.80/546.29
  6. Step 6: Final answer
    x = 428.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.